An introduction to o-minimal structures

Details An introduction to o-minimal structures An introduction to o-minimal structures

2000-12-07

arxiv.org/abs/math/0012051v2

Mathematics

Logic

Lecture note for the TMR Junior and Summer School in Complex Dynamics, 2-11 September 199, CMAF Lisboa, Portugal

Scientific paper

The first papers on o-minimal structures appeared in the mid 1980s, since then the subject has grown into a wide ranging generalisation of semialgebraic, subanalytic and subpfaffian geometry. In these notes we try to show that this is in fact the case by presenting several examples of o-minimal structures and by listing some geometric properties of sets and maps definable in o-minimal structures. We omit here any reference to the pure model theory of o-minimal structures and to the theory of groups and rings definable in o-minimal structures.

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